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Prime Factorization - Is Integer a Factor - From Value as Factors (Level 3)

This math topic focuses on advanced factoring and the determination of whether one integer is a factor of another using prime factorization. Involving skills like breaking numbers down to their prime factors and observing these factors' compatibility, students address questions that ascertain if a given number is a factor of another, based on their prime factor representations. This includes assessing compatibility and powers of prime constituents of the integers in question.

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Is Integer a Factor - From Value as Factors

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Is 60 a factor of 924

60=d2⋅p⋅x924=22⋅3⋅7⋅11is 60 a factor of924?\begin{align*}60 &= d^2 \cdot p \cdot x\\[-0.5em]924 &= 2^2 \cdot 3 \cdot 7 \cdot 11\end{align*}\\\\ \textsf{is }60\textsf{ a factor of}\\924?